A fan is undergoing fixed axis rotation on a pivot through the center of mass of the fan.The fan is initially spinning clockwise at an angular velocity of 30.0 rad/s and slowing downwith a constant counter-clockwise angular acceleration of 1.60 rad/s2 due to friction until thefan stops spinning. Once the fan stops, it stays stopped.A. Calculate the time for the fan to stop spinning.B. Calculate the angle (in radians) that the fan rotates through until it stops spinning.C. Calculate the number of revolutions the fan makes until it stops spinning.D. Briefly explain how the magnitudes of the tangential and radial acceleration of a point onthe outer edge of the fan change as the fan slows down.